(C₂₄₁⋊C₉)⋊C₉ #34086009

order	19521
automorphism	?
homology	Abelianization (H₁) = C₃×C₉ · Schur multiplier (H₂) = C₃

Aliases

(C₂₄₁⋊C₉)⋊C₉

C₂₄₁ ⋊ C₉⋊C₉

34 conjugacy classes of subgroups.

μ_t(G) = 19521

Polycyclic presentation:

3^4,241|a^3=d,b^3=c,b^a=bc,e^b=e^15

2193 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19521, 20);